Determine the Inverse Laplace of the following: 1. L(f) : %3D s2+10ns+247n² 2s-1 2. L(f) s2-6s+18 12 228 3. L(f) s4 %3D s6 4. L(F) (s+1)3 C2 5. L(f) where C1, C2 and C3 are constants (s+1)3 %| s+1 (s+1)2

please give me a step by step solution for the following problem: 6(-9)-(-8)-(-7)(4)+11

Consider the following problem: "You and a friend go to dinner with four couples. Before dinner, everyone shakes hands with each person that they've never met. During dinner, you ask everyone how many hands they shook. You get the following answers: 0, 1, 2, 3, 4, 5, 6, 7, 8. How many hands did your friend shake?" Which of these problems below represent a simpler problem that could help you solve this one? O You and a friend go to dinner with two couples, and everyone shakes each othes person's hand. How many handshakes did your friend give? O You and a friend go to dinner with one couple, and everyone shakes hands with each person they've never met. During dinner, you ask everyone how many hands they shook. You get the following answers: 1, 1, 1. How many hands did you shake? O You go to dinner with two couples, and everyone shakes each other person's hand. How many handshakes total happened? O You and a friend go to dinner with one couple, and everyone shakes hands with each person…

A man was at one corner of a 1656 square yard rectangular field. He then ran to the furthest corner, as shown in the diagram. If the length L of the field is 3 yards longer than three times the width W, then how far did the man run? Find both the exact solution and an approximate solution.